Finding the Third Proportional to 37,706.25 and 74,460.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,706.25 : 74,460.75 = 74,460.75 : x
2. Step 2: Convert to fraction form
   37,706.25/74,460.75 = 74,460.75/x
3. Step 3: Cross multiply
   37,706.25x = 74,460.75 × 74,460.75
4. Step 4: Simplify right side
   37,706.25x = 5,544,403,290.56
5. Step 5: Solve for x
   x = 5,544,403,290.56/37,706.25
6. Step 6: Final answer
   x = 147,042.02